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Question 752970: Write an equation for each parabola described below. Then draw the graph.
vertex (1,3)
directrix x =7/8
Could you show me the steps and process to get the answer?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Write an equation for each parabola described below. Then draw the graph.
vertex (1,3)
directrix x =7/8
Could you show me the steps and process to get the answer?
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Note: The vertex is to the right of the directrix
so the parabola is opening to the right.
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Form: (y-k)^2 = 4p(x-h)
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p is the distance from the directrix to the vertex.
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p = 1-(7/8) = 1/8
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h = 1 and k = 3
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Equation:
(y-3)^2 = 4(1/8)(x-1)
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(y-3)^2 = (1/2)(x-1)
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The graph is not a function so it cannot be shown on this site.
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Sketch the vertical line x = 7/8
Plot the vertex at (1,3)
Sketch a parabola opening to the right.
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Cheers,
Stan H.
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